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Finding the Fourth Proportional to 290,577.18, 435,865.08 and 77,345.10

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Solution

The fourth proportional to 290,577.18, 435,865.08 and 77,345.10 is: 116,017.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,577.18 : 435,865.08 = 77,345.10 : x
  2. Step 2: Convert to fraction form
    290,577.18/435,865.08 = 77,345.10/x
  3. Step 3: Cross multiply
    290,577.18x = 435,865.08 × 77,345.10
  4. Step 4: Simplify right side
    290,577.18x = 33,712,028,199.11
  5. Step 5: Solve for x
    x = 33,712,028,199.11/290,577.18
  6. Step 6: Final answer
    x = 116,017.47

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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.