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Finding the Fourth Proportional to 509,814.95, 703,345.52 and 291,907.18

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Solution

The fourth proportional to 509,814.95, 703,345.52 and 291,907.18 is: 402,717.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,814.95 : 703,345.52 = 291,907.18 : x
  2. Step 2: Convert to fraction form
    509,814.95/703,345.52 = 291,907.18/x
  3. Step 3: Cross multiply
    509,814.95x = 703,345.52 × 291,907.18
  4. Step 4: Simplify right side
    509,814.95x = 205,311,602,332.57
  5. Step 5: Solve for x
    x = 205,311,602,332.57/509,814.95
  6. Step 6: Final answer
    x = 402,717.89

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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.