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Finding the Fourth Proportional to 312,307.02, 430,983.60 and 169,066.98

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Solution

The fourth proportional to 312,307.02, 430,983.60 and 169,066.98 is: 233,312.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,307.02 : 430,983.60 = 169,066.98 : x
  2. Step 2: Convert to fraction form
    312,307.02/430,983.60 = 169,066.98/x
  3. Step 3: Cross multiply
    312,307.02x = 430,983.60 × 169,066.98
  4. Step 4: Simplify right side
    312,307.02x = 72,865,095,681.53
  5. Step 5: Solve for x
    x = 72,865,095,681.53/312,307.02
  6. Step 6: Final answer
    x = 233,312.38

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1.5x scale

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.