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Finding the Fourth Proportional to 371,210, 512,005.17 and 340,681.50

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Solution

The fourth proportional to 371,210, 512,005.17 and 340,681.50 is: 469,897.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,210 : 512,005.17 = 340,681.50 : x
  2. Step 2: Convert to fraction form
    371,210/512,005.17 = 340,681.50/x
  3. Step 3: Cross multiply
    371,210x = 512,005.17 × 340,681.50
  4. Step 4: Simplify right side
    371,210x = 174,430,689,323.36
  5. Step 5: Solve for x
    x = 174,430,689,323.36/371,210
  6. Step 6: Final answer
    x = 469,897.60

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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.