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Finding the Fourth Proportional to 615,978.68, 923,957.08 and 316,283.13

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Solution

The fourth proportional to 615,978.68, 923,957.08 and 316,283.13 is: 474,419.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    615,978.68 : 923,957.08 = 316,283.13 : x
  2. Step 2: Convert to fraction form
    615,978.68/923,957.08 = 316,283.13/x
  3. Step 3: Cross multiply
    615,978.68x = 923,957.08 × 316,283.13
  4. Step 4: Simplify right side
    615,978.68x = 292,232,036,457.35
  5. Step 5: Solve for x
    x = 292,232,036,457.35/615,978.68
  6. Step 6: Final answer
    x = 474,419.08

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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.