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Finding the Fourth Proportional to 933,284, 1,287,931.92 and 509,348

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Solution

The fourth proportional to 933,284, 1,287,931.92 and 509,348 is: 702,900.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    933,284 : 1,287,931.92 = 509,348 : x
  2. Step 2: Convert to fraction form
    933,284/1,287,931.92 = 509,348/x
  3. Step 3: Cross multiply
    933,284x = 1,287,931.92 × 509,348
  4. Step 4: Simplify right side
    933,284x = 656,005,547,588.16
  5. Step 5: Solve for x
    x = 656,005,547,588.16/933,284
  6. Step 6: Final answer
    x = 702,900.24

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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.