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Finding the Fourth Proportional to 510,642.69, 704,688.90 and 306,697.08

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Solution

The fourth proportional to 510,642.69, 704,688.90 and 306,697.08 is: 423,243.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,642.69 : 704,688.90 = 306,697.08 : x
  2. Step 2: Convert to fraction form
    510,642.69/704,688.90 = 306,697.08/x
  3. Step 3: Cross multiply
    510,642.69x = 704,688.90 × 306,697.08
  4. Step 4: Simplify right side
    510,642.69x = 216,126,027,235.80
  5. Step 5: Solve for x
    x = 216,126,027,235.80/510,642.69
  6. Step 6: Final answer
    x = 423,243.17

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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.