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Finding the Fourth Proportional to 472,460.65, 707,455.60 and 258,784.06

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Solution

The fourth proportional to 472,460.65, 707,455.60 and 258,784.06 is: 387,499.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,460.65 : 707,455.60 = 258,784.06 : x
  2. Step 2: Convert to fraction form
    472,460.65/707,455.60 = 258,784.06/x
  3. Step 3: Cross multiply
    472,460.65x = 707,455.60 × 258,784.06
  4. Step 4: Simplify right side
    472,460.65x = 183,078,232,437.74
  5. Step 5: Solve for x
    x = 183,078,232,437.74/472,460.65
  6. Step 6: Final answer
    x = 387,499.43

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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.