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Finding the Fourth Proportional to 346,970.70, 519,678.45 and 284,762.70

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Solution

The fourth proportional to 346,970.70, 519,678.45 and 284,762.70 is: 426,505.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,970.70 : 519,678.45 = 284,762.70 : x
  2. Step 2: Convert to fraction form
    346,970.70/519,678.45 = 284,762.70/x
  3. Step 3: Cross multiply
    346,970.70x = 519,678.45 × 284,762.70
  4. Step 4: Simplify right side
    346,970.70x = 147,985,038,553.82
  5. Step 5: Solve for x
    x = 147,985,038,553.82/346,970.70
  6. Step 6: Final answer
    x = 426,505.87

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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.