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Finding the Fourth Proportional to 557,991.50, 770,088.47 and 316,248.12

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Solution

The fourth proportional to 557,991.50, 770,088.47 and 316,248.12 is: 436,456.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,991.50 : 770,088.47 = 316,248.12 : x
  2. Step 2: Convert to fraction form
    557,991.50/770,088.47 = 316,248.12/x
  3. Step 3: Cross multiply
    557,991.50x = 770,088.47 × 316,248.12
  4. Step 4: Simplify right side
    557,991.50x = 243,539,030,475.87
  5. Step 5: Solve for x
    x = 243,539,030,475.87/557,991.50
  6. Step 6: Final answer
    x = 436,456.52

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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.