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Finding the Fourth Proportional to 456,567, 630,064.62 and 255,363

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Solution

The fourth proportional to 456,567, 630,064.62 and 255,363 is: 352,402.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,567 : 630,064.62 = 255,363 : x
  2. Step 2: Convert to fraction form
    456,567/630,064.62 = 255,363/x
  3. Step 3: Cross multiply
    456,567x = 630,064.62 × 255,363
  4. Step 4: Simplify right side
    456,567x = 160,895,191,557.06
  5. Step 5: Solve for x
    x = 160,895,191,557.06/456,567
  6. Step 6: Final answer
    x = 352,402.15

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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.