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Finding the Fourth Proportional to 524,934, 724,408.92 and 286,470

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Solution

The fourth proportional to 524,934, 724,408.92 and 286,470 is: 395,328.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,934 : 724,408.92 = 286,470 : x
  2. Step 2: Convert to fraction form
    524,934/724,408.92 = 286,470/x
  3. Step 3: Cross multiply
    524,934x = 724,408.92 × 286,470
  4. Step 4: Simplify right side
    524,934x = 207,521,423,312.40
  5. Step 5: Solve for x
    x = 207,521,423,312.40/524,934
  6. Step 6: Final answer
    x = 395,328.60

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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.