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Finding the Fourth Proportional to 346,487.64, 519,006.47 and 278,653.00

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Solution

The fourth proportional to 346,487.64, 519,006.47 and 278,653.00 is: 417,396.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,487.64 : 519,006.47 = 278,653.00 : x
  2. Step 2: Convert to fraction form
    346,487.64/519,006.47 = 278,653.00/x
  3. Step 3: Cross multiply
    346,487.64x = 519,006.47 × 278,653.00
  4. Step 4: Simplify right side
    346,487.64x = 144,622,709,284.03
  5. Step 5: Solve for x
    x = 144,622,709,284.03/346,487.64
  6. Step 6: Final answer
    x = 417,396.45

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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.