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Finding the Fourth Proportional to 437,412.28, 653,721.76 and 319,332.28

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Solution

The fourth proportional to 437,412.28, 653,721.76 and 319,332.28 is: 477,248.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,412.28 : 653,721.76 = 319,332.28 : x
  2. Step 2: Convert to fraction form
    437,412.28/653,721.76 = 319,332.28/x
  3. Step 3: Cross multiply
    437,412.28x = 653,721.76 × 319,332.28
  4. Step 4: Simplify right side
    437,412.28x = 208,754,460,106.41
  5. Step 5: Solve for x
    x = 208,754,460,106.41/437,412.28
  6. Step 6: Final answer
    x = 477,248.74

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1.5x scale

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.