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Finding the Fourth Proportional to 933,281, 1,287,927.78 and 509,345

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Solution

The fourth proportional to 933,281, 1,287,927.78 and 509,345 is: 702,896.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    933,281 : 1,287,927.78 = 509,345 : x
  2. Step 2: Convert to fraction form
    933,281/1,287,927.78 = 509,345/x
  3. Step 3: Cross multiply
    933,281x = 1,287,927.78 × 509,345
  4. Step 4: Simplify right side
    933,281x = 655,999,575,104.10
  5. Step 5: Solve for x
    x = 655,999,575,104.10/933,281
  6. Step 6: Final answer
    x = 702,896.10

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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.