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Finding the Fourth Proportional to 626,164, 864,106.32 and 357,897.76

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Solution

The fourth proportional to 626,164, 864,106.32 and 357,897.76 is: 493,898.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    626,164 : 864,106.32 = 357,897.76 : x
  2. Step 2: Convert to fraction form
    626,164/864,106.32 = 357,897.76/x
  3. Step 3: Cross multiply
    626,164x = 864,106.32 × 357,897.76
  4. Step 4: Simplify right side
    626,164x = 309,261,716,329.84
  5. Step 5: Solve for x
    x = 309,261,716,329.84/626,164
  6. Step 6: Final answer
    x = 493,898.91

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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.