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Finding the Fourth Proportional to 553,746.20, 829,963.20 and 497,321.60

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Solution

The fourth proportional to 553,746.20, 829,963.20 and 497,321.60 is: 745,393.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,746.20 : 829,963.20 = 497,321.60 : x
  2. Step 2: Convert to fraction form
    553,746.20/829,963.20 = 497,321.60/x
  3. Step 3: Cross multiply
    553,746.20x = 829,963.20 × 497,321.60
  4. Step 4: Simplify right side
    553,746.20x = 412,758,626,565.12
  5. Step 5: Solve for x
    x = 412,758,626,565.12/553,746.20
  6. Step 6: Final answer
    x = 745,393.15

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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.