Finding the Fourth Proportional to 1,564,272,415.40, 2,346,408,623.10 and 838,678,303.40
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Solution
The fourth proportional to 1,564,272,415.40, 2,346,408,623.10 and 838,678,303.40 is: 1,258,017,455.10
Step by Step Solution
- Step 1: Write the proportion equation
1,564,272,415.40 : 2,346,408,623.10 = 838,678,303.40 : x - Step 2: Convert to fraction form
1,564,272,415.40/2,346,408,623.10 = 838,678,303.40/x - Step 3: Cross multiply
1,564,272,415.40x = 2,346,408,623.10 × 838,678,303.40 - Step 4: Simplify right side
1,564,272,415.40x = 1,967,882,003,104,637,952 - Step 5: Solve for x
x = 1,967,882,003,104,637,952/1,564,272,415.40 - Step 6: Final answer
x = 1,258,017,455.10
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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.