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Finding the Fourth Proportional to 614,548, 921,822 and 147,604

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Solution

The fourth proportional to 614,548, 921,822 and 147,604 is: 221,406

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,548 : 921,822 = 147,604 : x
  2. Step 2: Convert to fraction form
    614,548/921,822 = 147,604/x
  3. Step 3: Cross multiply
    614,548x = 921,822 × 147,604
  4. Step 4: Simplify right side
    614,548x = 136,064,614,488
  5. Step 5: Solve for x
    x = 136,064,614,488/614,548
  6. Step 6: Final answer
    x = 221,406

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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.