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Finding the Fourth Proportional to 472,657,804.40, 709,716,613.80 and 257,666,956.40

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Solution

The fourth proportional to 472,657,804.40, 709,716,613.80 and 257,666,956.40 is: 386,898,339.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,657,804.40 : 709,716,613.80 = 257,666,956.40 : x
  2. Step 2: Convert to fraction form
    472,657,804.40/709,716,613.80 = 257,666,956.40/x
  3. Step 3: Cross multiply
    472,657,804.40x = 709,716,613.80 × 257,666,956.40
  4. Step 4: Simplify right side
    472,657,804.40x = 182,870,519,784,360,224
  5. Step 5: Solve for x
    x = 182,870,519,784,360,224/472,657,804.40
  6. Step 6: Final answer
    x = 386,898,339.73

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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.