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Finding the Fourth Proportional to 847,991, 1,272,569.70 and 349,355

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Solution

The fourth proportional to 847,991, 1,272,569.70 and 349,355 is: 524,272.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    847,991 : 1,272,569.70 = 349,355 : x
  2. Step 2: Convert to fraction form
    847,991/1,272,569.70 = 349,355/x
  3. Step 3: Cross multiply
    847,991x = 1,272,569.70 × 349,355
  4. Step 4: Simplify right side
    847,991x = 444,578,587,543.50
  5. Step 5: Solve for x
    x = 444,578,587,543.50/847,991
  6. Step 6: Final answer
    x = 524,272.77

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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.