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Finding the Fourth Proportional to 500,492.93, 750,780.36 and 145,506.51

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Solution

The fourth proportional to 500,492.93, 750,780.36 and 145,506.51 is: 218,271.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,492.93 : 750,780.36 = 145,506.51 : x
  2. Step 2: Convert to fraction form
    500,492.93/750,780.36 = 145,506.51/x
  3. Step 3: Cross multiply
    500,492.93x = 750,780.36 × 145,506.51
  4. Step 4: Simplify right side
    500,492.93x = 109,243,429,960.14
  5. Step 5: Solve for x
    x = 109,243,429,960.14/500,492.93
  6. Step 6: Final answer
    x = 218,271.68

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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.