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Finding the Fourth Proportional to 407,529,970.05, 611,294,955.08 and 407,529,970.05

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Solution

The fourth proportional to 407,529,970.05, 611,294,955.08 and 407,529,970.05 is: 611,294,955.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,529,970.05 : 611,294,955.08 = 407,529,970.05 : x
  2. Step 2: Convert to fraction form
    407,529,970.05/611,294,955.08 = 407,529,970.05/x
  3. Step 3: Cross multiply
    407,529,970.05x = 611,294,955.08 × 407,529,970.05
  4. Step 4: Simplify right side
    407,529,970.05x = 249,121,014,733,430,880
  5. Step 5: Solve for x
    x = 249,121,014,733,430,880/407,529,970.05
  6. Step 6: Final answer
    x = 611,294,955.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.