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Finding the Fourth Proportional to 472,457.77, 707,451.30 and 258,781.19

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Solution

The fourth proportional to 472,457.77, 707,451.30 and 258,781.19 is: 387,495.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,457.77 : 707,451.30 = 258,781.19 : x
  2. Step 2: Convert to fraction form
    472,457.77/707,451.30 = 258,781.19/x
  3. Step 3: Cross multiply
    472,457.77x = 707,451.30 × 258,781.19
  4. Step 4: Simplify right side
    472,457.77x = 183,075,085,743.79
  5. Step 5: Solve for x
    x = 183,075,085,743.79/472,457.77
  6. Step 6: Final answer
    x = 387,495.13

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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.