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Finding the Fourth Proportional to 604,871.20, 907,306.80 and 415,914.40

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Solution

The fourth proportional to 604,871.20, 907,306.80 and 415,914.40 is: 623,871.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    604,871.20 : 907,306.80 = 415,914.40 : x
  2. Step 2: Convert to fraction form
    604,871.20/907,306.80 = 415,914.40/x
  3. Step 3: Cross multiply
    604,871.20x = 907,306.80 × 415,914.40
  4. Step 4: Simplify right side
    604,871.20x = 377,361,963,337.92
  5. Step 5: Solve for x
    x = 377,361,963,337.92/604,871.20
  6. Step 6: Final answer
    x = 623,871.60

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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.