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Finding the Fourth Proportional to 615,828.80, 924,434.40 and 476,206.40

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Solution

The fourth proportional to 615,828.80, 924,434.40 and 476,206.40 is: 714,844.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    615,828.80 : 924,434.40 = 476,206.40 : x
  2. Step 2: Convert to fraction form
    615,828.80/924,434.40 = 476,206.40/x
  3. Step 3: Cross multiply
    615,828.80x = 924,434.40 × 476,206.40
  4. Step 4: Simplify right side
    615,828.80x = 440,221,577,660.16
  5. Step 5: Solve for x
    x = 440,221,577,660.16/615,828.80
  6. Step 6: Final answer
    x = 714,844.09

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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.