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Finding the Fourth Proportional to 473,643.76, 653,620.67 and 258,779.20

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Solution

The fourth proportional to 473,643.76, 653,620.67 and 258,779.20 is: 357,111.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,643.76 : 653,620.67 = 258,779.20 : x
  2. Step 2: Convert to fraction form
    473,643.76/653,620.67 = 258,779.20/x
  3. Step 3: Cross multiply
    473,643.76x = 653,620.67 × 258,779.20
  4. Step 4: Simplify right side
    473,643.76x = 169,143,432,792.17
  5. Step 5: Solve for x
    x = 169,143,432,792.17/473,643.76
  6. Step 6: Final answer
    x = 357,111.08

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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.