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Finding the Fourth Proportional to 495,879.72, 684,643.56 and 380,953.68

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Solution

The fourth proportional to 495,879.72, 684,643.56 and 380,953.68 is: 525,969.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,879.72 : 684,643.56 = 380,953.68 : x
  2. Step 2: Convert to fraction form
    495,879.72/684,643.56 = 380,953.68/x
  3. Step 3: Cross multiply
    495,879.72x = 684,643.56 × 380,953.68
  4. Step 4: Simplify right side
    495,879.72x = 260,817,483,670.30
  5. Step 5: Solve for x
    x = 260,817,483,670.30/495,879.72
  6. Step 6: Final answer
    x = 525,969.25

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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.