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Finding the Fourth Proportional to 306,648.16, 459,970.08 and 85,032.16

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Solution

The fourth proportional to 306,648.16, 459,970.08 and 85,032.16 is: 127,547.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,648.16 : 459,970.08 = 85,032.16 : x
  2. Step 2: Convert to fraction form
    306,648.16/459,970.08 = 85,032.16/x
  3. Step 3: Cross multiply
    306,648.16x = 459,970.08 × 85,032.16
  4. Step 4: Simplify right side
    306,648.16x = 39,112,249,437.77
  5. Step 5: Solve for x
    x = 39,112,249,437.77/306,648.16
  6. Step 6: Final answer
    x = 127,547.64

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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.