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Finding the Fourth Proportional to 584,781, 807,000.21 and 316,509

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Solution

The fourth proportional to 584,781, 807,000.21 and 316,509 is: 436,783.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,781 : 807,000.21 = 316,509 : x
  2. Step 2: Convert to fraction form
    584,781/807,000.21 = 316,509/x
  3. Step 3: Cross multiply
    584,781x = 807,000.21 × 316,509
  4. Step 4: Simplify right side
    584,781x = 255,422,829,466.89
  5. Step 5: Solve for x
    x = 255,422,829,466.89/584,781
  6. Step 6: Final answer
    x = 436,783.74

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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.