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Finding the Fourth Proportional to 524,496, 786,746.88 and 130,512

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Solution

The fourth proportional to 524,496, 786,746.88 and 130,512 is: 195,768.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,496 : 786,746.88 = 130,512 : x
  2. Step 2: Convert to fraction form
    524,496/786,746.88 = 130,512/x
  3. Step 3: Cross multiply
    524,496x = 786,746.88 × 130,512
  4. Step 4: Simplify right side
    524,496x = 102,679,908,802.56
  5. Step 5: Solve for x
    x = 102,679,908,802.56/524,496
  6. Step 6: Final answer
    x = 195,768.72

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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.