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Finding the Fourth Proportional to 506,870.40, 699,411.96 and 302,878.20

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Solution

The fourth proportional to 506,870.40, 699,411.96 and 302,878.20 is: 417,930.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,870.40 : 699,411.96 = 302,878.20 : x
  2. Step 2: Convert to fraction form
    506,870.40/699,411.96 = 302,878.20/x
  3. Step 3: Cross multiply
    506,870.40x = 699,411.96 × 302,878.20
  4. Step 4: Simplify right side
    506,870.40x = 211,836,635,503.27
  5. Step 5: Solve for x
    x = 211,836,635,503.27/506,870.40
  6. Step 6: Final answer
    x = 417,930.57

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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.