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Finding the Fourth Proportional to 495,894.40, 684,509.76 and 294,688

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Solution

The fourth proportional to 495,894.40, 684,509.76 and 294,688 is: 406,773.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,894.40 : 684,509.76 = 294,688 : x
  2. Step 2: Convert to fraction form
    495,894.40/684,509.76 = 294,688/x
  3. Step 3: Cross multiply
    495,894.40x = 684,509.76 × 294,688
  4. Step 4: Simplify right side
    495,894.40x = 201,716,812,154.88
  5. Step 5: Solve for x
    x = 201,716,812,154.88/495,894.40
  6. Step 6: Final answer
    x = 406,773.72

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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.