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Finding the Fourth Proportional to 931,402, 1,285,334.76 and 507,466

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Solution

The fourth proportional to 931,402, 1,285,334.76 and 507,466 is: 700,303.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    931,402 : 1,285,334.76 = 507,466 : x
  2. Step 2: Convert to fraction form
    931,402/1,285,334.76 = 507,466/x
  3. Step 3: Cross multiply
    931,402x = 1,285,334.76 × 507,466
  4. Step 4: Simplify right side
    931,402x = 652,263,689,318.16
  5. Step 5: Solve for x
    x = 652,263,689,318.16/931,402
  6. Step 6: Final answer
    x = 700,303.08

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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.