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Finding the Fourth Proportional to 565,507,810.94, 780,407,961.05 and 311,218,445.25

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Solution

The fourth proportional to 565,507,810.94, 780,407,961.05 and 311,218,445.25 is: 429,485,406.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,507,810.94 : 780,407,961.05 = 311,218,445.25 : x
  2. Step 2: Convert to fraction form
    565,507,810.94/780,407,961.05 = 311,218,445.25/x
  3. Step 3: Cross multiply
    565,507,810.94x = 780,407,961.05 × 311,218,445.25
  4. Step 4: Simplify right side
    565,507,810.94x = 242,877,352,298,703,552
  5. Step 5: Solve for x
    x = 242,877,352,298,703,552/565,507,810.94
  6. Step 6: Final answer
    x = 429,485,406.92

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.