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Finding the Fourth Proportional to 656,507.85, 906,241.76 and 564,261.95

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Solution

The fourth proportional to 656,507.85, 906,241.76 and 564,261.95 is: 778,905.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,507.85 : 906,241.76 = 564,261.95 : x
  2. Step 2: Convert to fraction form
    656,507.85/906,241.76 = 564,261.95/x
  3. Step 3: Cross multiply
    656,507.85x = 906,241.76 × 564,261.95
  4. Step 4: Simplify right side
    656,507.85x = 511,357,735,316.51
  5. Step 5: Solve for x
    x = 511,357,735,316.51/656,507.85
  6. Step 6: Final answer
    x = 778,905.74

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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.