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Finding the Fourth Proportional to 561,927,471.76, 775,480,673.32 and 307,626,654.64

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Solution

The fourth proportional to 561,927,471.76, 775,480,673.32 and 307,626,654.64 is: 424,536,149.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,927,471.76 : 775,480,673.32 = 307,626,654.64 : x
  2. Step 2: Convert to fraction form
    561,927,471.76/775,480,673.32 = 307,626,654.64/x
  3. Step 3: Cross multiply
    561,927,471.76x = 775,480,673.32 × 307,626,654.64
  4. Step 4: Simplify right side
    561,927,471.76x = 238,558,525,271,406,304
  5. Step 5: Solve for x
    x = 238,558,525,271,406,304/561,927,471.76
  6. Step 6: Final answer
    x = 424,536,149.70

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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.