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Finding the Fourth Proportional to 290,791,669.60, 435,656,662.80 and 177,191,567.20

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Solution

The fourth proportional to 290,791,669.60, 435,656,662.80 and 177,191,567.20 is: 265,463,886.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,791,669.60 : 435,656,662.80 = 177,191,567.20 : x
  2. Step 2: Convert to fraction form
    290,791,669.60/435,656,662.80 = 177,191,567.20/x
  3. Step 3: Cross multiply
    290,791,669.60x = 435,656,662.80 × 177,191,567.20
  4. Step 4: Simplify right side
    290,791,669.60x = 77,194,686,842,653,936
  5. Step 5: Solve for x
    x = 77,194,686,842,653,936/290,791,669.60
  6. Step 6: Final answer
    x = 265,463,886.74

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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.