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Finding the Fourth Proportional to 781,328, 1,078,232.64 and 423,632

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Solution

The fourth proportional to 781,328, 1,078,232.64 and 423,632 is: 584,612.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    781,328 : 1,078,232.64 = 423,632 : x
  2. Step 2: Convert to fraction form
    781,328/1,078,232.64 = 423,632/x
  3. Step 3: Cross multiply
    781,328x = 1,078,232.64 × 423,632
  4. Step 4: Simplify right side
    781,328x = 456,773,849,748.48
  5. Step 5: Solve for x
    x = 456,773,849,748.48/781,328
  6. Step 6: Final answer
    x = 584,612.16

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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.