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Finding the Fourth Proportional to 507,397.50, 700,208.55 and 306,193.50

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Solution

The fourth proportional to 507,397.50, 700,208.55 and 306,193.50 is: 422,547.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,397.50 : 700,208.55 = 306,193.50 : x
  2. Step 2: Convert to fraction form
    507,397.50/700,208.55 = 306,193.50/x
  3. Step 3: Cross multiply
    507,397.50x = 700,208.55 × 306,193.50
  4. Step 4: Simplify right side
    507,397.50x = 214,399,306,654.43
  5. Step 5: Solve for x
    x = 214,399,306,654.43/507,397.50
  6. Step 6: Final answer
    x = 422,547.03

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1.5x scale

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.