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Finding the Fourth Proportional to 761,897.82, 1,051,413.40 and 417,728.08

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Solution

The fourth proportional to 761,897.82, 1,051,413.40 and 417,728.08 is: 576,461.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    761,897.82 : 1,051,413.40 = 417,728.08 : x
  2. Step 2: Convert to fraction form
    761,897.82/1,051,413.40 = 417,728.08/x
  3. Step 3: Cross multiply
    761,897.82x = 1,051,413.40 × 417,728.08
  4. Step 4: Simplify right side
    761,897.82x = 439,204,896,790.50
  5. Step 5: Solve for x
    x = 439,204,896,790.50/761,897.82
  6. Step 6: Final answer
    x = 576,461.68

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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.