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Finding the Fourth Proportional to 431,965.95, 648,025.80 and 147,688.08

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Solution

The fourth proportional to 431,965.95, 648,025.80 and 147,688.08 is: 221,558.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,965.95 : 648,025.80 = 147,688.08 : x
  2. Step 2: Convert to fraction form
    431,965.95/648,025.80 = 147,688.08/x
  3. Step 3: Cross multiply
    431,965.95x = 648,025.80 × 147,688.08
  4. Step 4: Simplify right side
    431,965.95x = 95,705,686,192.46
  5. Step 5: Solve for x
    x = 95,705,686,192.46/431,965.95
  6. Step 6: Final answer
    x = 221,558.40

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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.