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Finding the Fourth Proportional to 509,674.95, 763,282.85 and 402,686.91

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Solution

The fourth proportional to 509,674.95, 763,282.85 and 402,686.91 is: 603,058.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,674.95 : 763,282.85 = 402,686.91 : x
  2. Step 2: Convert to fraction form
    509,674.95/763,282.85 = 402,686.91/x
  3. Step 3: Cross multiply
    509,674.95x = 763,282.85 × 402,686.91
  4. Step 4: Simplify right side
    509,674.95x = 307,364,010,309.06
  5. Step 5: Solve for x
    x = 307,364,010,309.06/509,674.95
  6. Step 6: Final answer
    x = 603,058.89

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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.