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Finding the Fourth Proportional to 533,400, 736,061.76 and 291,637.68

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Solution

The fourth proportional to 533,400, 736,061.76 and 291,637.68 is: 402,443.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,400 : 736,061.76 = 291,637.68 : x
  2. Step 2: Convert to fraction form
    533,400/736,061.76 = 291,637.68/x
  3. Step 3: Cross multiply
    533,400x = 736,061.76 × 291,637.68
  4. Step 4: Simplify right side
    533,400x = 214,663,344,023.12
  5. Step 5: Solve for x
    x = 214,663,344,023.12/533,400
  6. Step 6: Final answer
    x = 402,443.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.