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Finding the Fourth Proportional to 472,459.65, 707,454.11 and 258,783.06

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Solution

The fourth proportional to 472,459.65, 707,454.11 and 258,783.06 is: 387,497.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,459.65 : 707,454.11 = 258,783.06 : x
  2. Step 2: Convert to fraction form
    472,459.65/707,454.11 = 258,783.06/x
  3. Step 3: Cross multiply
    472,459.65x = 707,454.11 × 258,783.06
  4. Step 4: Simplify right side
    472,459.65x = 183,077,138,101.46
  5. Step 5: Solve for x
    x = 183,077,138,101.46/472,459.65
  6. Step 6: Final answer
    x = 387,497.93

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1.5x scale

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.