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Finding the Fourth Proportional to 699,721.42, 965,913.50 and 470,411.70

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Solution

The fourth proportional to 699,721.42, 965,913.50 and 470,411.70 is: 649,368.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    699,721.42 : 965,913.50 = 470,411.70 : x
  2. Step 2: Convert to fraction form
    699,721.42/965,913.50 = 470,411.70/x
  3. Step 3: Cross multiply
    699,721.42x = 965,913.50 × 470,411.70
  4. Step 4: Simplify right side
    699,721.42x = 454,377,011,587.95
  5. Step 5: Solve for x
    x = 454,377,011,587.95/699,721.42
  6. Step 6: Final answer
    x = 649,368.45

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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.