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Finding the Fourth Proportional to 686,547.71, 947,465.81 and 380,604.64

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Solution

The fourth proportional to 686,547.71, 947,465.81 and 380,604.64 is: 525,251.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,547.71 : 947,465.81 = 380,604.64 : x
  2. Step 2: Convert to fraction form
    686,547.71/947,465.81 = 380,604.64/x
  3. Step 3: Cross multiply
    686,547.71x = 947,465.81 × 380,604.64
  4. Step 4: Simplify right side
    686,547.71x = 360,609,878,462.32
  5. Step 5: Solve for x
    x = 360,609,878,462.32/686,547.71
  6. Step 6: Final answer
    x = 525,251.01

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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.