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Finding the Fourth Proportional to 497,415,690.60, 744,779,843.10 and 389,920,266.60

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Solution

The fourth proportional to 497,415,690.60, 744,779,843.10 and 389,920,266.60 is: 583,827,089.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,415,690.60 : 744,779,843.10 = 389,920,266.60 : x
  2. Step 2: Convert to fraction form
    497,415,690.60/744,779,843.10 = 389,920,266.60/x
  3. Step 3: Cross multiply
    497,415,690.60x = 744,779,843.10 × 389,920,266.60
  4. Step 4: Simplify right side
    497,415,690.60x = 290,404,754,979,858,176
  5. Step 5: Solve for x
    x = 290,404,754,979,858,176/497,415,690.60
  6. Step 6: Final answer
    x = 583,827,089.63

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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.