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Finding the Fourth Proportional to 510,870.81, 705,001.46 and 296,135.31

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Solution

The fourth proportional to 510,870.81, 705,001.46 and 296,135.31 is: 408,666.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,870.81 : 705,001.46 = 296,135.31 : x
  2. Step 2: Convert to fraction form
    510,870.81/705,001.46 = 296,135.31/x
  3. Step 3: Cross multiply
    510,870.81x = 705,001.46 × 296,135.31
  4. Step 4: Simplify right side
    510,870.81x = 208,775,824,426.88
  5. Step 5: Solve for x
    x = 208,775,824,426.88/510,870.81
  6. Step 6: Final answer
    x = 408,666.58

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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.