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Finding the Fourth Proportional to 704,240.16, 971,699.40 and 417,855

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Solution

The fourth proportional to 704,240.16, 971,699.40 and 417,855 is: 576,549.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    704,240.16 : 971,699.40 = 417,855 : x
  2. Step 2: Convert to fraction form
    704,240.16/971,699.40 = 417,855/x
  3. Step 3: Cross multiply
    704,240.16x = 971,699.40 × 417,855
  4. Step 4: Simplify right side
    704,240.16x = 406,029,452,787
  5. Step 5: Solve for x
    x = 406,029,452,787/704,240.16
  6. Step 6: Final answer
    x = 576,549.70

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.