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Finding the Fourth Proportional to 610,389.38, 914,089.19 and 430,031.59

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Solution

The fourth proportional to 610,389.38, 914,089.19 and 430,031.59 is: 643,994.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,389.38 : 914,089.19 = 430,031.59 : x
  2. Step 2: Convert to fraction form
    610,389.38/914,089.19 = 430,031.59/x
  3. Step 3: Cross multiply
    610,389.38x = 914,089.19 × 430,031.59
  4. Step 4: Simplify right side
    610,389.38x = 393,087,227,777.51
  5. Step 5: Solve for x
    x = 393,087,227,777.51/610,389.38
  6. Step 6: Final answer
    x = 643,994.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.