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Finding the Fourth Proportional to 437,356.10, 653,637.86 and 319,276.10

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Solution

The fourth proportional to 437,356.10, 653,637.86 and 319,276.10 is: 477,164.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,356.10 : 653,637.86 = 319,276.10 : x
  2. Step 2: Convert to fraction form
    437,356.10/653,637.86 = 319,276.10/x
  3. Step 3: Cross multiply
    437,356.10x = 653,637.86 × 319,276.10
  4. Step 4: Simplify right side
    437,356.10x = 208,690,941,888.58
  5. Step 5: Solve for x
    x = 208,690,941,888.58/437,356.10
  6. Step 6: Final answer
    x = 477,164.82

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.