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Finding the Fourth Proportional to 630,681.48, 870,037.71 and 412,794.23

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Solution

The fourth proportional to 630,681.48, 870,037.71 and 412,794.23 is: 569,457.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    630,681.48 : 870,037.71 = 412,794.23 : x
  2. Step 2: Convert to fraction form
    630,681.48/870,037.71 = 412,794.23/x
  3. Step 3: Cross multiply
    630,681.48x = 870,037.71 × 412,794.23
  4. Step 4: Simplify right side
    630,681.48x = 359,146,551,496.14
  5. Step 5: Solve for x
    x = 359,146,551,496.14/630,681.48
  6. Step 6: Final answer
    x = 569,457.90

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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.