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Finding the Fourth Proportional to 521,526.04, 782,162.63 and 142,448.55

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Solution

The fourth proportional to 521,526.04, 782,162.63 and 142,448.55 is: 213,638.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,526.04 : 782,162.63 = 142,448.55 : x
  2. Step 2: Convert to fraction form
    521,526.04/782,162.63 = 142,448.55/x
  3. Step 3: Cross multiply
    521,526.04x = 782,162.63 × 142,448.55
  4. Step 4: Simplify right side
    521,526.04x = 111,417,931,596.35
  5. Step 5: Solve for x
    x = 111,417,931,596.35/521,526.04
  6. Step 6: Final answer
    x = 213,638.29

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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.